153232082640 has 960 divisors, whose sum is σ = 700200184320. Its totient is φ = 30423859200.

The previous prime is 153232082621. The next prime is 153232082677. The reversal of 153232082640 is 46280232351.

153232082640 is a `hidden beast` number, since 1 + 5 + 3 + 2 + 3 + 2 + 0 + 8 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 153232082595 and 153232082604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23387365 + ... + 23393915.

It is an arithmetic number, because the mean of its divisors is an integer number (729375192).

Almost surely, 2^153232082640 is an apocalyptic number.

153232082640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153232082640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350100092160).

153232082640 is an abundant number, since it is smaller than the sum of its proper divisors (546968101680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

153232082640 is a wasteful number, since it uses less digits than its factorization.

153232082640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6617 (or 6598 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 153232082640 in words is "one hundred fifty-three billion, two hundred thirty-two million, eighty-two thousand, six hundred forty".